150420864 has 128 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 45086720.

The previous prime is 150420863. The next prime is 150420877. The reversal of 150420864 is 468024051.

150420864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150420863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629257 + ... + 629495.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2^150420864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320000).

150420864 is an abundant number, since it is smaller than the sum of its proper divisors (290219136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150420864 is a wasteful number, since it uses less digits than its factorization.

150420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 150420864 is about 12264.6183797132. The cubic root of 150420864 is about 531.8257480458.

The spelling of 150420864 in words is "one hundred fifty million, four hundred twenty thousand, eight hundred sixty-four".